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Finding the Fourth Proportional to 2,645.34, 3,969.09 and 914.10

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Solution

The fourth proportional to 2,645.34, 3,969.09 and 914.10 is: 1,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.34 : 3,969.09 = 914.10 : x
  2. Step 2: Convert to fraction form
    2,645.34/3,969.09 = 914.10/x
  3. Step 3: Cross multiply
    2,645.34x = 3,969.09 × 914.10
  4. Step 4: Simplify right side
    2,645.34x = 3,628,145.17
  5. Step 5: Solve for x
    x = 3,628,145.17/2,645.34
  6. Step 6: Final answer
    x = 1,371.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.